Problem 1: Consider the vector space R³. Let {e1, e2, e3} be the standard basis of R³. Find a basis B of R³ for which [e1] B = [e2]B = 2 and [e3] B = 1

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Problem 1: Consider the vector space R³. Let {e1, e2, e3} be the standard basis of R³. Find a basis B of R³ for
which
[e1] B
=
[e2]B
= 2
and
[e3] B
=
1
Transcribed Image Text:Problem 1: Consider the vector space R³. Let {e1, e2, e3} be the standard basis of R³. Find a basis B of R³ for which [e1] B = [e2]B = 2 and [e3] B = 1
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